Topological optimization with nonlinear state equation

• Cornel Marius Murea ^[1]
  1. [1] Département de Mathématiques, IRIMAS, Université de Haute Alsace
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 82, Nº. 2, 2025, págs. 219-240
• Idioma: inglés
• DOI: 10.1007/s40324-024-00371-7
• Enlaces
  • Texto completo
• Resumen

  • We examine optimal design problems governed by elliptic variational inequalities with unilateral conditions in the domain. We employ functional variations of the geometry that combine shape and topology optimization. Differentiability properties of the regularized/penalized problems are proved and gradient methods are used in the numerical experiments. Our methodology allows both the creation of new holes and/or the closing of existing holes, during the iterations.